Yep - it was called Weekend 24.
And Weekend 24 lasted for a long time after Breakfast launched. I seem to recall the 9am-10am hour of what is now Breakfast on Saturdays was the last thing to be branded Weekend 24.
It was. It was branded as Weekend 24 up until about 2006/07, at which point Breakfast was extended to 10am. But even now, 10 years later, the hour is still branded as 'BBC News' on the EPGs
and News Channel schedule listings.